On the angular metrics between linear subspaces

DOI10.1016/j.laa.2006.08.015zbMath1110.15027OpenAlexW2156423236MaRDI QIDQ864565

Yanxia Zhang, Li Qiu

Publication date: 12 February 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.08.015

zbMATH Keywords

perturbationlinear subspacedeficiencyangular metricGrassmanian manifoldunitarily invariant metric

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (5)

On a subspace metric based on matrix rank ⋮ Stealthy multiplicative attacks against cyber‐physical systems: A gap metric approach ⋮ Algorithm design and approximation analysis on distributed robust game ⋮ On angles and distances between subspaces ⋮ Stability Robustness of Closed-Loop Systems in Angular Metrics

Cites Work

• Feedback stability under simultaneous gap metric uncertainties in plant and controller
• Canonical angles of unitary spaces and perturbations of direct complements
• History and generality of the CS decomposition
• Perturbation theory for linear operators.
• Frequency domain uncertainty and the graph topology
• Pointwise gap metrics on transfer matrices
• Unitarily Invariant Metrics on the Grassmann Space
• Some new bounds on perturbation of subspaces
• The Rotation of Eigenvectors by a Perturbation. III
• RELATIONS BETWEEN TWO SETS OF VARIATES
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
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